%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : CSR218+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:05:08 AM UTC 2026
% Result : Theorem 61.40s 9.50s
% Output : CNFRefutation 61.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 111 ( 3 equ)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 97 ( 19 ~; 12 |; 50 &)
% ( 11 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-7 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 79 ( 1 sgn 60 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(predefinitionsA12,axiom,
! [X0,X1,X2] :
( ( 'p$u$ud$u$usubclass'(X1,X2)
& 'p$u$ud$u$uinstance'(X0,X1) )
=> 'p$u$ud$u$uinstance'(X0,X2) ) ).
fof(predefinitionsA15,axiom,
! [X0,X1] :
( 'p$u$ud$u$udisjoint'(X0,X1)
<=> ! [X2] :
( ~ 'p$u$ud$u$uinstance'(X2,X1)
| ~ 'p$u$ud$u$uinstance'(X2,X0) ) ) ).
fof(predefinitionsA18,axiom,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( 'p$u$ud$u$upartition7'(X0,X1,X2,X3,X4,X5,X6)
<=> ( 'p$u$ud$u$udisjointDecomposition7'(X0,X1,X2,X3,X4,X5,X6)
& 'p$u$ud$u$uexhaustiveDecomposition7'(X0,X1,X2,X3,X4,X5,X6) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( 'p$u$ud$u$upartition6'(X0,X1,X2,X3,X4,X5)
<=> ( 'p$u$ud$u$udisjointDecomposition6'(X0,X1,X2,X3,X4,X5)
& 'p$u$ud$u$uexhaustiveDecomposition6'(X0,X1,X2,X3,X4,X5) ) )
& ! [X0,X1,X2,X3,X4] :
( 'p$u$ud$u$upartition5'(X0,X1,X2,X3,X4)
<=> ( 'p$u$ud$u$udisjointDecomposition5'(X0,X1,X2,X3,X4)
& 'p$u$ud$u$uexhaustiveDecomposition5'(X0,X1,X2,X3,X4) ) )
& ! [X0,X1,X2,X3] :
( 'p$u$ud$u$upartition4'(X0,X1,X2,X3)
<=> ( 'p$u$ud$u$udisjointDecomposition4'(X0,X1,X2,X3)
& 'p$u$ud$u$uexhaustiveDecomposition4'(X0,X1,X2,X3) ) )
& ! [X0,X1,X2] :
( 'p$u$ud$u$upartition3'(X0,X1,X2)
<=> ( 'p$u$ud$u$udisjointDecomposition3'(X0,X1,X2)
& 'p$u$ud$u$uexhaustiveDecomposition3'(X0,X1,X2) ) ) ) ).
fof(predefinitionsA24,axiom,
( ! [X0,X1,X2,X3,X4,X5,X6] :
( 'p$u$ud$u$udisjointDecomposition7'(X0,X1,X2,X3,X4,X5,X6)
<=> ( 'p$u$ud$u$udisjoint'(X5,X6)
& 'p$u$ud$u$udisjoint'(X4,X6)
& 'p$u$ud$u$udisjoint'(X4,X5)
& 'p$u$ud$u$udisjoint'(X3,X6)
& 'p$u$ud$u$udisjoint'(X3,X5)
& 'p$u$ud$u$udisjoint'(X3,X4)
& 'p$u$ud$u$udisjoint'(X2,X6)
& 'p$u$ud$u$udisjoint'(X2,X5)
& 'p$u$ud$u$udisjoint'(X2,X4)
& 'p$u$ud$u$udisjoint'(X2,X3)
& 'p$u$ud$u$udisjoint'(X1,X6)
& 'p$u$ud$u$udisjoint'(X1,X5)
& 'p$u$ud$u$udisjoint'(X1,X4)
& 'p$u$ud$u$udisjoint'(X1,X3)
& 'p$u$ud$u$udisjoint'(X1,X2) ) )
& ! [X0,X1,X2,X3,X4,X5] :
( 'p$u$ud$u$udisjointDecomposition6'(X0,X1,X2,X3,X4,X5)
<=> ( 'p$u$ud$u$udisjoint'(X4,X5)
& 'p$u$ud$u$udisjoint'(X3,X5)
& 'p$u$ud$u$udisjoint'(X3,X4)
& 'p$u$ud$u$udisjoint'(X2,X5)
& 'p$u$ud$u$udisjoint'(X2,X4)
& 'p$u$ud$u$udisjoint'(X2,X3)
& 'p$u$ud$u$udisjoint'(X1,X5)
& 'p$u$ud$u$udisjoint'(X1,X4)
& 'p$u$ud$u$udisjoint'(X1,X3)
& 'p$u$ud$u$udisjoint'(X1,X2) ) )
& ! [X0,X1,X2,X3,X4] :
( 'p$u$ud$u$udisjointDecomposition5'(X0,X1,X2,X3,X4)
<=> ( 'p$u$ud$u$udisjoint'(X3,X4)
& 'p$u$ud$u$udisjoint'(X2,X4)
& 'p$u$ud$u$udisjoint'(X2,X3)
& 'p$u$ud$u$udisjoint'(X1,X4)
& 'p$u$ud$u$udisjoint'(X1,X3)
& 'p$u$ud$u$udisjoint'(X1,X2) ) )
& ! [X0,X1,X2,X3] :
( 'p$u$ud$u$udisjointDecomposition4'(X0,X1,X2,X3)
<=> ( 'p$u$ud$u$udisjoint'(X2,X3)
& 'p$u$ud$u$udisjoint'(X1,X3)
& 'p$u$ud$u$udisjoint'(X1,X2) ) )
& ! [X0,X1,X2] :
( 'p$u$ud$u$udisjointDecomposition3'(X0,X1,X2)
<=> 'p$u$ud$u$udisjoint'(X1,X2) ) ) ).
fof(mergeA173,axiom,
'p$u$ud$u$upartition3'('c$u$uEntity','c$u$uPhysical','c$u$uAbstract') ).
fof(mergeA181,axiom,
'p$u$ud$u$usubclass'('c$u$uObject','c$u$uPhysical') ).
fof(mergeA332,axiom,
'p$u$ud$u$usubclass'('c$u$uQuantity','c$u$uAbstract') ).
fof(mergeA354,axiom,
'p$u$ud$u$usubclass'('c$u$uNumber','c$u$uQuantity') ).
fof(antonymPattern10066,conjecture,
! [X0,X1] :
( 'p$u$ud$u$uinstance'(X1,'c$u$uObject')
=> ( ( ? [X2] :
( 'p$u$uattribute'(X1,X2)
& 'p$u$ud$u$uinstance'(X2,'c$u$uAttribute')
& 'p$u$ud$u$uinstance'(X2,'c$u$uAttribute') )
& 'p$u$ud$u$uinstance'(X0,'c$u$uNumber') )
=> X0 != X1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] :
( 'p$u$ud$u$uinstance'(X1,'c$u$uObject')
=> ( ( ? [X2] :
( 'p$u$uattribute'(X1,X2)
& 'p$u$ud$u$uinstance'(X2,'c$u$uAttribute')
& 'p$u$ud$u$uinstance'(X2,'c$u$uAttribute') )
& 'p$u$ud$u$uinstance'(X0,'c$u$uNumber') )
=> X0 != X1 ) ),
inference(negate_conjecture,[status(cth)],[antonymPattern10066]) ).
cnf(c3,plain,
( 'p$u$ud$u$uinstance'(X0,X2)
| ~ 'p$u$ud$u$usubclass'(X1,X2)
| ~ 'p$u$ud$u$uinstance'(X0,X1) ),
inference(clausification,[status(esa)],[predefinitionsA12]) ).
cnf(c4,plain,
( ~ 'p$u$ud$u$uinstance'(X2,X1)
| ~ 'p$u$ud$u$uinstance'(X2,X0)
| ~ 'p$u$ud$u$udisjoint'(X0,X1) ),
inference(clausification,[status(esa)],[predefinitionsA15]) ).
cnf(c8,plain,
( 'p$u$ud$u$udisjointDecomposition3'(X0,X1,X2)
| ~ 'p$u$ud$u$upartition3'(X0,X1,X2) ),
inference(clausification,[status(esa)],[predefinitionsA18]) ).
cnf(c22,plain,
( 'p$u$ud$u$udisjoint'(X1,X2)
| ~ 'p$u$ud$u$udisjointDecomposition3'(X0,X1,X2) ),
inference(clausification,[status(esa)],[predefinitionsA24]) ).
cnf(c71,plain,
'p$u$ud$u$upartition3'('c$u$uEntity','c$u$uPhysical','c$u$uAbstract'),
inference(clausification,[status(esa)],[mergeA173]) ).
cnf(c79,plain,
'p$u$ud$u$usubclass'('c$u$uObject','c$u$uPhysical'),
inference(clausification,[status(esa)],[mergeA181]) ).
cnf(c112,plain,
'p$u$ud$u$usubclass'('c$u$uQuantity','c$u$uAbstract'),
inference(clausification,[status(esa)],[mergeA332]) ).
cnf(c117,plain,
'p$u$ud$u$usubclass'('c$u$uNumber','c$u$uQuantity'),
inference(clausification,[status(esa)],[mergeA354]) ).
cnf(c289,plain,
'p$u$ud$u$uinstance'(sK191,'c$u$uObject'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c290,plain,
'p$u$ud$u$uinstance'(sK190,'c$u$uNumber'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c294,plain,
sK190 = sK191,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( 'p$u$ud$u$uinstance'(sK190,X0)
| ~ 'p$u$ud$u$usubclass'('c$u$uNumber',X0) ),
inference(resolution,[status(thm)],[c3,c290]) ).
cnf(d1,plain,
( 'p$u$ud$u$uinstance'(sK191,X0)
| ~ 'p$u$ud$u$usubclass'('c$u$uNumber',X0) ),
inference(demodulation,[status(thm)],[d0,c294]) ).
cnf(d2,plain,
'p$u$ud$u$uinstance'(sK191,'c$u$uQuantity'),
inference(resolution,[status(thm)],[c117,d1]) ).
cnf(d3,plain,
( 'p$u$ud$u$uinstance'(sK191,X0)
| ~ 'p$u$ud$u$usubclass'('c$u$uQuantity',X0) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
'p$u$ud$u$uinstance'(sK191,'c$u$uAbstract'),
inference(resolution,[status(thm)],[d3,c112]) ).
cnf(d5,plain,
'p$u$ud$u$udisjointDecomposition3'('c$u$uEntity','c$u$uPhysical','c$u$uAbstract'),
inference(resolution,[status(thm)],[c71,c8]) ).
cnf(d6,plain,
'p$u$ud$u$udisjoint'('c$u$uPhysical','c$u$uAbstract'),
inference(resolution,[status(thm)],[d5,c22]) ).
cnf(d7,plain,
( ~ 'p$u$ud$u$uinstance'(X0,'c$u$uPhysical')
| ~ 'p$u$ud$u$uinstance'(X0,'c$u$uAbstract') ),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
~ 'p$u$ud$u$uinstance'(sK191,'c$u$uPhysical'),
inference(resolution,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( 'p$u$ud$u$uinstance'(sK191,X0)
| ~ 'p$u$ud$u$usubclass'('c$u$uObject',X0) ),
inference(resolution,[status(thm)],[c3,c289]) ).
cnf(d10,plain,
'p$u$ud$u$uinstance'(sK191,'c$u$uPhysical'),
inference(resolution,[status(thm)],[c79,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR218+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 01:35:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 61.40/9.50 % SZS status Theorem for theBenchmark.p
% 61.40/9.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------